Estimating Share Value Using the ROPI Model Following are forecasts of Illinois Tool Works Inc. sales, net operating profit after tax (NOPAT), and net operating assets (NOA) as of December 31, 2018.   Reported Horizon Period   $ millions 2018 2019 2020 2021 2022 Terminal Period Sales $14,768 $15,654 $16,593 $17,589 $18,644 $19,017 NOPAT 2,711 2,880 3,053 3,236 3,430 3,499 NOA 9,462 10,028 10,630 11,268 11,944 12,183 Answer the following requirements assuming a discount rate (WACC) of 7.35%, a terminal period growth rate of 2%, common shares outstanding of 328.1 million, and net nonoperating obligations (NNO) of $6,204 million. (a) Estimate the value of a share of ITW’s common stock using the residual operating income model (ROPI) model as of December 31, 2018. Instructions:   Round all answers to the nearest whole number, except for discount factors, shares outstanding (do not round), and stock price per share. Round discount factors to 5 decimal places. Round stock price per share to two decimal places. Do not use negative signs with any of your answers.      Reported Horizon Period   ($ millions) 2018 2019 2020 2021 2022 Terminal Period ROPI (NOPAT - [NOABeg × rw])   Answer Answer Answer Answer Answer Discount factor [1 / (1 + rw)t ]   Answer Answer Answer Answer   Present value of horizon ROPI   Answer Answer Answer Answer   Cum present value of horizon ROPI Answer           Present value of terminal ROPI Answer           NOA Answer           Total firm value Answer           NNO Answer           Firm equity value Answer           Shares outstanding (millions) Answer           Stock price per share Answer             (b) Illinois Tool Works Inc. closed at $144.21 on February 15, 2019, the date the 10-K was filed with the SEC. How does your valuation estimate compare with this closing price? What do you believe are some reasons for the difference?    Stock prices are a function of many factors. It is impossible to speculate on the reasons for the difference. Our stock price estimate is only slightly higher than the ITW's market price, indicating that we believe that ITW stock is accurately priced. Our stock price estimate is much higher than the ITW's market price, indicating that we believe that ITW stock is overvalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our higher stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions. Our stock price estimate is lower than the ITW's market price, indicating that we believe that ITW stock is undervalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our lower stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions.

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Estimating Share Value Using the ROPI Model
Following are forecasts of Illinois Tool Works Inc. sales, net operating profit after tax (NOPAT), and net operating assets (NOA) as of December 31, 2018.

  Reported Horizon Period  
$ millions 2018 2019 2020 2021 2022 Terminal Period
Sales $14,768 $15,654 $16,593 $17,589 $18,644 $19,017
NOPAT 2,711 2,880 3,053 3,236 3,430 3,499
NOA 9,462 10,028 10,630 11,268 11,944 12,183


Answer the following requirements assuming a discount rate (WACC) of 7.35%, a terminal period growth rate of 2%, common shares outstanding of 328.1 million, and net nonoperating obligations (NNO) of $6,204 million.

(a) Estimate the value of a share of ITW’s common stock using the residual operating income model (ROPI) model as of December 31, 2018.

Instructions:

 

  • Round all answers to the nearest whole number, except for discount factors, shares outstanding (do not round), and stock price per share.
  • Round discount factors to 5 decimal places.
  • Round stock price per share to two decimal places.
  • Do not use negative signs with any of your answers. 

 

  Reported Horizon Period  
($ millions) 2018 2019 2020 2021 2022 Terminal Period
ROPI (NOPAT - [NOABeg × rw])   Answer Answer Answer Answer Answer

Discount factor [1 / (1 + rw)t ]

  Answer Answer Answer Answer  
Present value of horizon ROPI   Answer Answer Answer Answer  
Cum present value of horizon ROPI Answer          
Present value of terminal ROPI Answer          
NOA Answer          
Total firm value Answer          
NNO Answer          
Firm equity value Answer          
Shares outstanding (millions) Answer          
Stock price per share Answer          

 

(b) Illinois Tool Works Inc. closed at $144.21 on February 15, 2019, the date the 10-K was filed with the SEC. How does your valuation estimate compare with this closing price? What do you believe are some reasons for the difference? 

 

Stock prices are a function of many factors. It is impossible to speculate on the reasons for the difference.
Our stock price estimate is only slightly higher than the ITW's market price, indicating that we believe that ITW stock is accurately priced.
Our stock price estimate is much higher than the ITW's market price, indicating that we believe that ITW stock is overvalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our higher stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions.
Our stock price estimate is lower than the ITW's market price, indicating that we believe that ITW stock is undervalued. Stock prices are a function of expected NOPAT and NOA, as well as the WACC discount rate. Our lower stock price estimate might be due to more optimistic forecasts or a lower discount rate compared to other investors' and analysts' model assumptions.
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